Titlebook: Ordered Groups and Infinite Permutation Groups; W. Charles Holland Book 19961st edition Kluwer Academic Publishers 1996 automorphism.group

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The Separation Theorem for Group Actions,it possible to . Γ from Δ by an element of ., that is to have Γ. ⋂Δ = . for some . ∈ .? In 1976 Peter M. Neumann [25, Lemma 2.3] proved that every finite subset can be separated from itself in this way provided that all the .-orbits in Ω are infinite.

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Quasivarieties and Varieties of Lattice-Ordered Groups, should be made of properties expressed by universal sentences such as identities and implications, which can be referred to as the theory of varieties and quasivarieties, respectively, of .-groups. The theory of varieties of ℓ-groups has been developed for more than two decades and contributions to

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The Automorphism Groups of Generalized McLain Groups,ence of particular locally nilpotent groups, now known as McLain groups. McLain groups are important for many questions in group theory, and their construction and properties can be found in most text books of infinite group theory; we refer to [17, pp. 347–349]. The basic ingredients in McLain’s co

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Locally Moving Groups and Reconstruction Problems,dense in .. We show (Corollary 1.4) that for every complete atomless Boolean algebra . and a locally moving subgroup ., the group G determines B up to isomorphism. We then use this theorem to prove that certain mathematical structures are determined by their automorphism group. In Section 3 we show

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The Separation Theorem for Group Actions,it possible to . Γ from Δ by an element of ., that is to have Γ. ⋂Δ = . for some . ∈ .? In 1976 Peter M. Neumann [25, Lemma 2.3] proved that every finite subset can be separated from itself in this way provided that all the .-orbits in Ω are infinite.

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